QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#769915 | #9553. The Hermit | Nana7# | AC ✓ | 233ms | 20104kb | C++14 | 1.4kb | 2024-11-21 19:52:55 | 2024-11-21 19:52:56 |
Judging History
answer
#include<iostream>
#include<cstdio>
#include<cstring>
#include<vector>
#define I inline
#define int long long
using namespace std;
const int mod = 998244353;
const int N = 100010;
const int LG = 19;
int mul[N],inv[N],f[LG][N];
int n,m,red,ans;
int qpow(int x,int y) {
if(y==0) return 1;
if(y==1) return x;
int mk=qpow(x,y/2);
return y%2?mk*mk%mod*x%mod:mk*mk%mod;
}
I int C(int x,int y) {
if(x<y) return 0;
return mul[x]*inv[y]%mod*inv[x-y]%mod;
}
I void deal(int x) {
for(int i=1;i*x<=m;++i) {
int nxt=i*x;
for(int pre=0;pre<=18;++pre) {
int nd=n-pre-2,hv1=m/nxt-1,hv2=m/x-(nxt/x);
if(hv2<nd||nd<0||nd>m-x) continue;
red+=f[pre][x]*(C(hv2,nd)-C(hv1,nd)+mod)%mod*(pre+1)%mod;
red%=mod;
}
}
if(n<=18) {
red+=f[n-1][x]*n%mod;
red%=mod;
}
//cout<<red<<endl;
}
signed main()
{
{
mul[0]=inv[0]=1;
for(int i=1;i<=100000;++i) mul[i]=mul[i-1]*i%mod;
inv[100000]=qpow(mul[100000],mod-2);
for(int i=99999;i>=1;--i) inv[i]=inv[i+1]*(i+1)%mod;
}
// cout<<C(100000,99999)<<endl;
for(int i=1;i<=100000;++i) {
f[0][i]=1;
for(int j=1;j<=18;++j) {
for(int k=2;k*i<=100000;++k) {
f[j][k*i]+=f[j-1][i];
f[j][k*i]%=mod;
}
}
}
cin>>m>>n;
// if(n==1) {
// cout<<0<<endl;
// return 0;
// }
for(int i=1;i<=m;++i) {
deal(i);
}
cout<<(C(m,n)*n%mod-red+mod)%mod<<endl;
}
这程序好像有点Bug,我给组数据试试?
Details
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Test #1:
score: 100
Accepted
time: 97ms
memory: 20040kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 74ms
memory: 20100kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 79ms
memory: 19916kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 70ms
memory: 19920kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 127ms
memory: 20052kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 103ms
memory: 20040kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 233ms
memory: 20036kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 131ms
memory: 19980kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 98ms
memory: 20048kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 75ms
memory: 20092kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 63ms
memory: 19968kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 114ms
memory: 20040kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 172ms
memory: 19964kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 219ms
memory: 20100kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 218ms
memory: 20104kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 184ms
memory: 20040kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 154ms
memory: 20036kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 203ms
memory: 19968kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 176ms
memory: 19960kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 86ms
memory: 19960kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 83ms
memory: 20012kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 129ms
memory: 19972kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 96ms
memory: 20044kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 99ms
memory: 20100kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 98ms
memory: 20096kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 133ms
memory: 20064kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 94ms
memory: 20052kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 85ms
memory: 20052kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 83ms
memory: 20040kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 63ms
memory: 20036kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 186ms
memory: 20096kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 226ms
memory: 19956kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 192ms
memory: 19920kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 207ms
memory: 19916kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 84ms
memory: 20104kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 140ms
memory: 20036kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 189ms
memory: 19996kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 67ms
memory: 20044kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 69ms
memory: 20056kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 66ms
memory: 19968kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 65ms
memory: 20036kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 87ms
memory: 20104kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 89ms
memory: 20100kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 123ms
memory: 19956kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 80ms
memory: 19924kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 119ms
memory: 19976kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 112ms
memory: 20104kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 140ms
memory: 19976kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 183ms
memory: 19960kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 215ms
memory: 19968kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 208ms
memory: 19964kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 185ms
memory: 20032kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 202ms
memory: 20048kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed